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For open quantum systems,a short-time evolution is usually well described by the effective non-Hermitian Hamiltonians,while long-time dynamics requires the Lindblad master equation,in which the Liouvillian superoperators characterize the…

Quantum Physics · Physics 2024-04-19 Jilian Zhong , Xiaoyue Li

Density-matrix topology, defined through the geometric property of the relevant modular Hamiltonian, can undergo transitions in the corresponding open-system dynamics. While symmetry considerations are crucial to ensure such a dynamic…

Quantum Physics · Physics 2024-10-21 Wenzhi Wang , Wei Yi

Non-Hermitian Hamiltonians provide a simple picture for inspecting dissipative systems with natural or induced gain and loss. We investigate the Floquet dynamical phase transition in the dissipative periodically time driven XY and extended…

Statistical Mechanics · Physics 2022-03-01 J. Naji , Masoud Jafari , R. Jafari , Alireza Akbari

In open quantum systems, reduced dynamics is commonly described by a master equation, whose Liouvillian gap closing (LGC) typically signals the emergence of decoherence-free subspace. By contrast, the dynamics of the full system-environment…

Quantum Physics · Physics 2026-02-03 Hongwei Yu , Mingzhu Weng , Zhihai Wang , Jin Wang

The $\mathcal{PT}$-symmetric non-Hermitian systems have been widely studied and explored both in theory and in experiment these years due to various interesting features. In this work, we focus on the dynamical features of a triple-qubit…

Quantum Physics · Physics 2021-03-24 Jingwei Wen , Chao Zheng , Zhangdong Ye , Tao Xin , Guilu Long

Dissipatively stabilized cat qubits are promising for fault-tolerant quantum information processing, yet their non-Hermitian (NH) spectral topology remains largely unexplored. We uncover rich Liouvillian exceptional structures in a…

Quantum Physics · Physics 2026-04-23 Tian-Le Yang , Pei-Rong Han , Zhen-Biao Yang , Shi-Biao Zheng

We study two-body non-Hermitian physics in the context of an open dissipative system depicted by the Lindblad master equation. Adopting a minimal lattice model of a handful of interacting fermions with single-particle dissipation, we show…

Quantum Gases · Physics 2022-01-19 Peize Ding , Wei Yi

Topology in many-body physics usually emerges as a feature of equilibrium quantum states. We show that topological fingerprints can also appear in the relaxation rates of open quantum systems. To demonstrate this we consider one of the…

Strongly Correlated Electrons · Physics 2024-10-28 Kevin Kavanagh , Joost K. Slingerland , Shane Dooley , Graham Kells

In driven-dissipative systems, the presence of a strong symmetry guarantees the existence of several steady states belonging to different symmetry sectors. Here we show that, when a system with a strong symmetry is initialized in a quantum…

The reduced dynamics of an open quantum system obtained from an underlying microscopic Hamiltonian can in general only approximately be described by a time local master equation. The quality of that approximation depends primarily on the…

Quantum Physics · Physics 2020-01-15 Richard Hartmann , Walter T. Strunz

We develop an exact framework to describe the non-Markovian dynamics of an open quantum system interacting with an environment modeled by a generalized spectral density function. The approach relies on mapping the initial system onto an…

Quantum Physics · Physics 2020-10-22 Graeme Pleasance , Barry M. Garraway , Francesco Petruccione

We study the dissipative dynamics of a one-dimensional bosonic system described in terms of the bipartite Bose-Hubbard model with alternating gain and loss. This model exhibits the $\mathcal{PT}$ symmetry under some specific conditions and…

Quantum Gases · Physics 2023-03-07 Cătălin Paşcu Moca , Doru Sticlet , Balázs Dóra , Gergely Zaránd

While cavity-magnon hybridization offers intriguing physics, its practical implementation is hindered by intrinsic damping in both cavity and magnon modes, leading to short coherence times and constrained applications. Recently, with the…

Quantum Physics · Physics 2026-05-11 Huang Xin , Liu Jingyu , Lin Shirong

The dynamics of open quantum systems described by the Lindblad master equation follows according to non-Hermitian operators. As a result, such systems can host non-Hermitian degeneracies called Liouvillian exceptional points (EPs). In this…

Quantum Physics · Physics 2025-10-10 Sayooj P , Awadhesh Narayan

The interplay between dissipation and internal interactions in quantum many-body systems gives rise to a wealth of novel phenomena. Here we investigate spin-1/2 chains with uniform local couplings to a Markovian environment using the…

Strongly Correlated Electrons · Physics 2013-10-24 Zi Cai , Thomas Barthel

Dissipative phase transitions (DPT) are defined by sudden changes in the physical properties of nonequilibrium open quantum systems and they present characteristics that have no analog in closed and thermal systems. Several methods to…

Quantum Physics · Physics 2025-08-08 Masataka Matsumoto , Zi Cai , Matteo Baggioli

Non-hermitian, $\mathcal{PT}$-symmetric Hamiltonians, experimentally realized in optical systems, accurately model the properties of open, bosonic systems with balanced, spatially separated gain and loss. We present a family of exactly…

Quantum Physics · Physics 2015-12-17 Kaustubh S. Agarwal , Rajeev K. Pathak , Yogesh N. Joglekar

A non-${\cal{PT}}$-symmetric Hamiltonian system of a Duffing oscillator coupled to an anti-damped oscillator with a variable angular frequency is shown to admit periodic solutions. The result implies that ${\cal{PT}}$-symmetry of a…

Chaotic Dynamics · Physics 2020-11-11 Pijush K. Ghosh , Puspendu Roy

The interplay between dissipation, topology and sensitivity to boundary conditions has recently attracted tremendous amounts of attention at the level of effective non-Hermitian descriptions. Here we exactly solve a quantum mechanical…

Quantum Physics · Physics 2022-06-07 Fan Yang , Qing-Dong Jiang , Emil J. Bergholtz

We consider a time-dependent small quantum system weakly coupled to an environnement, whose effective dynamics we address by means of a Lindblad equation. We assume the Hamiltonian part of the Lindbladian is slowly varying in time and the…

Mathematical Physics · Physics 2022-02-16 Alain Joye
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